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Finding the Fourth Proportional to 866.32, 1,193.09 and 810.73

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Solution

The fourth proportional to 866.32, 1,193.09 and 810.73 is: 1,116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.32 : 1,193.09 = 810.73 : x
  2. Step 2: Convert to fraction form
    866.32/1,193.09 = 810.73/x
  3. Step 3: Cross multiply
    866.32x = 1,193.09 × 810.73
  4. Step 4: Simplify right side
    866.32x = 967,269.80
  5. Step 5: Solve for x
    x = 967,269.80/866.32
  6. Step 6: Final answer
    x = 1,116.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.